Details

analyze375.0ms (15.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7521	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample205.0ms (8.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify293.0ms (12.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (287.0ms)

Iter	Nodes	Cost
0	7521	9

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 x x))
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite36.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_3510`
5×	`sqrt-prod_binary64_3504` `*-un-lft-identity_binary64_3488`
4×	`add-log-exp_binary64_3527` `difference-of-squares_binary64_3457`
3×	`pow1_binary64_3549` `add-cube-cbrt_binary64_3523`
2×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `flip3--_binary64_3492` `sqrt-div_binary64_3505` `flip--_binary64_3463`
1×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501` `diff-log_binary64_3580` `sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454`

Counts

2 → 31

Calls

2 calls:

3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(-.f64 1 (*.f64 x x))

Compiler

Compiled 401 to 243 computations (39.4% saved)

series65.0ms (2.7%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

31.0ms	(-.f64 1 (*.f64 x x))
26.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 209 to 194 computations (7.2% saved)

simplify69.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4984	464
1	4984	464

prune32.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Error

Counts

44 → 2

Compiler

Compiled 422 to 270 computations (36% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 x x))
0.0b	(exp.f64 (-.f64 1 (*.f64 x x)))
0.0b	(sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (*.f64 x x)))))
0.0b	(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))

rewrite79.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`exp-prod_binary64_3540`
14×	`add-sqr-sqrt_binary64_3510`
13×	`*-un-lft-identity_binary64_3488`
12×	`log-pow_binary64_3577`
9×	`add-cube-cbrt_binary64_3523` `add-log-exp_binary64_3527` `sqrt-prod_binary64_3504`
8×	`difference-of-squares_binary64_3457`
7×	`pow1_binary64_3549`
5×	`log-prod_binary64_3574`
4×	`exp-sum_binary64_3534` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
3×	`sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454`
2×	`exp-diff_binary64_3536` `diff-log_binary64_3580` `rem-exp-log_binary64_3528`
1×	`log-div_binary64_3575` `rem-log-exp_binary64_3529` `pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501` `flip3--_binary64_3492` `flip--_binary64_3463`

Counts

4 → 70

Calls

4 calls:

5.0ms	(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
4.0ms	(sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (*.f64 x x)))))
4.0ms	(exp.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(-.f64 1 (*.f64 x x))

Compiler

Compiled 996 to 667 computations (33% saved)

series259.0ms (10.9%)

Error

Counts

4 → 22

Calls

4 calls:

101.0ms	(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
88.0ms	(sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (*.f64 x x)))))
35.0ms	(-.f64 1 (*.f64 x x))
21.0ms	(exp.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 466 to 426 computations (8.6% saved)

simplify105.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4892	958
1	4892	958

prune60.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	92	2	94

Error

Counts

94 → 2

Compiler

Compiled 991 to 632 computations (36.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 1/2 (.f64 x x))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
3×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `add-sqr-sqrt_binary64_3510` `associate-l_binary64_3429`
2×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
1×	`add-log-exp_binary64_3527` `unswap-sqr_binary64_3456` `associate-r_binary64_3428` `*-commutative_binary64_3419`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 1/2 (*.f64 x x))

Compiler

Compiled 231 to 151 computations (34.6% saved)

series29.0ms (1.2%)

Error

Counts

1 → 3

Calls

1 calls:

27.0ms

(*.f64 1/2 (*.f64 x x))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify62.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5148	179

prune13.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 212 to 148 computations (30.2% saved)

regimes88.0ms (3.7%)

Accuracy

Total 0.0b remaining (93.8%)

Threshold costs 0.0b (93.8%)

Compiler

Compiled 752 to 576 computations (23.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	24
1	36	24

end0.0ms (0%)

sample574.0ms (24.1%)

Algorithm

1×

intervals

Results

190.0ms

8000×

body

128

valid

Compiler

Compiled 175 to 131 computations (25.1% saved)

Details

analyze375.0ms (15.7%)

sample205.0ms (8.6%)

simplify293.0ms (12.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite36.0ms (1.5%)

series65.0ms (2.7%)

simplify69.0ms (2.9%)

prune32.0ms (1.3%)

localize7.0ms (0.3%)

rewrite79.0ms (3.3%)

series259.0ms (10.9%)

simplify105.0ms (4.4%)

prune60.0ms (2.5%)

localize4.0ms (0.2%)

rewrite19.0ms (0.8%)

series29.0ms (1.2%)

simplify62.0ms (2.6%)

prune13.0ms (0.6%)

regimes88.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample574.0ms (24.1%)

Profiling